Band gap mass filter with induced azimuthal electric field

ABSTRACT

A band gap mass filter for separating particles of mass (M 1 ) from particles of mass (M 2 ) in a multi-species plasma includes a chamber defining an axis. Coils around the chamber generate an axially aligned magnetic field defined (B=B 0 +B 1  sin ωt), with an antenna generating the sinusoidal component (B 1  sin ωt) to induce an azimuthal electric field (E θ ) in the chamber. The resultant crossed electric and magnetic fields place particles M 2  on unconfined orbits for collection inside the chamber, and pass the particles M 1  through said chamber for separation from the particles M 2 . Unconfined orbits for particles M 2  are determined according to an α-β plot  
         (       α   =         Ω   0   2     +       Ω   1   2     /   2         4        ω   2           ,       and                 β     =         Ω   0          Ω   1         8        ω   2             )     ,                 
 
     where Ω 0  is the cyclotron frequency for particles with mass/charge ratio M, and wherein Ω 0 =B 0 /M and Ω 1 =B 1 /M.

FIELD OF THE INVENTION

[0001] The present invention pertains generally to devices and methods for processing multi-species plasmas. More particularly, the present invention pertains to devices and methods for controlling the orbits of selected charged particles in a plasma by manipulating crossed electric and magnetic fields (E_(θ)×B_(z)). The present invention is particularly, but not exclusively, useful for tuning the sinusoidal component of a magnetic field (B_(z)=B₀+B₁ sin ωt) to generate an azimuthal electric field (E_(θ)); to control the orbits of particles having a selected mass/charge ratio; and to thereby separate these particles from a multi-species plasma in a predictable way.

BACKGROUND OF THE INVENTION

[0002] Heretofore, several devices and methods have been proposed that act on charged particles (ions) in a multi-species plasma for the purpose of separating particles of different mass/charge ratios from each other. In particular, these devices have been designed and engineered to use crossed electric and magnetic fields to effect charged particles in a plasma. For example, U.S. Pat. No. 6,096,220 which issued to Ohkawa for an invention entitled “Plasma Mass Filter” and which is assigned to the same assignee as the present invention, discloses a device and method for separating charged particles of a multi-species plasma in a plasma chamber. In accordance with this invention, an axially oriented magnetic field is crossed with a radially oriented electric field in a manner that causes particles having mass/charge ratios above a predetermined cut-off mass (M_(c)) to follow unconfined orbits. Consequently, these particles are collected inside the filter chamber. On the other hand, particles having mass/charge ratios below the predetermined cut-off mass (M_(c)) are confined on orbits that cause them to exit the chamber for collection. A variation of the above-mentioned invention disclosed in U.S. patent application Ser. No. 10/114,900, which was filed for Ohkawa on Apr. 2, 2002, for an invention entitled “Band Gap Plasma Mass Filter,” and which is also assigned to the same assignee as the present invention, employs a device and method for tuning the radial electric field with a sinusoidal component. This tuning then causes the crossed electric and magnetic fields to target particles of a predetermined mass/charge ratio for confinement in the filter chamber, rather than relying on a demarcation above and below a cut-off mass. As indicated, in these examples, the respective magnetic fields are axially aligned and the respective electric fields are radially oriented. Further, the radial electric fields of these inventions are generated by electrodes.

[0003] Depending on the particular application, it is well known that when electrodes are used to generate electric fields, the electrodes can adversely affect their environment if they are not properly controlled. In this respect, plasma mass filters that employ electrodes to generate radial electric fields are no exception. The import here is that the physics and engineering issues implicated in such applications need to be considered. On the other hand, if electrodes are not used to generate an electric field and, instead, the electric field can be induced by other means, the adverse issues alluded to above are generally obviated.

[0004] In accordance with basic physics, it is well known that a moving magnetic field can be used to induce an electric field. With this in mind, and by using appropriate assumptions for conditions inside the chamber of a plasma mass filter, it can be mathematically shown that the sinusoidal component of an axially oriented magnetic field will induce an azimuthal electric field E_(θ). For this purpose, the magnetic field can be generally defined by the expression B_(z)=B₀+B₁ sin ωt. Further, when a plasma filter is operating near the Alfven cavity mode, or when there is a low plasma density in the filter chamber, additional appropriate assumptions allow an α-β plot (α is abscissa and β is ordinate) to be mathematically established. Specifically, such an α-β plot can be used to determine the operational parameters that will define whether a charged particle, having a selected mass/charge ratio (M), will travel on a confined or and unconfined orbit in the separation section of the plasma chamber. For the α-β plot, ${\alpha = \frac{\Omega_{0}^{2} + {\Omega_{1}^{2}/2}}{4\omega^{2}}},{{{and}\quad \beta} = \frac{\Omega_{0}\Omega_{1}}{8\omega^{2}}},$

[0005] where Ω₀ is the cyclotron frequency for particles with mass/charge ratio M, and wherein Ω₀=B₀/M and Ω₁=B₁/M.

[0006] In light of the above, it is an object of the present invention to provide a band gap mass filter using an azimuthal electric field (E_(θ)) to separate particles of mass (M₁) from particles of mass (M₂) in a multi-species plasma which effectively confines the electric field inside the separation section of the filter. Another object of the present invention is to provide a band gap mass filter that effectively obviates the adverse effects that would otherwise result if electrodes were used to generate the electric field. Still another object of the present invention is to minimize the in-vessel components of a band gap mass filter. Yet another object of the present invention is to provide a band gap mass filter that is relatively easy to manufacture, is simple to use and is relatively cost effective.

SUMMARY OF THE INVENTION

[0007] In accordance with the present invention, a band gap mass filter includes a chamber with a separation section for processing a multi-species plasma. The filter also includes a plurality of direct current (d.c.) coils that are mounted around the chamber to generate an axially oriented and substantially constant uniform magnetic field (B₀) in the filter chamber. Additionally, the band gap mass filter of the present invention includes an r-f antenna that is mounted on the filter to generate a sinusoidal component for the axially oriented magnetic field, (B₁ sin ωt). Accordingly, the magnetic field in the plasma chamber has a constant component and an r-f (sinusoidal) component that together can be generally defined as B_(z)=B₀+B₁ sin ωt. Specifically, the purpose of the sinusoidal (r-f) component is to induce an azimuthal electric field (E_(θ)) in the plasma chamber of the filter. On the other hand, the general purpose of the constant component is to maintain the multi-species plasma in the chamber. Importantly, the electric field is crossed with the magnetic field (E_(θ)×B_(z)) to affect charged particles in the separation chamber in a known and predictable manner.

[0008] Although no in-vessel components are required to generate the electric field, E_(θ), axial currents are, nevertheless, generated inside the separation section of the plasma chamber. Specifically, these axial currents are due to the divergence of the radial ion current as particles are separated inside the chamber. Consequently, to account for this phenomenon, conductors can be placed at opposite ends of the plasma chamber to absorb the axial currents.

[0009] For its operation, the band gap mass filter of the present invention includes a unit that controls the magnitude (B₁) and the frequency (ω) of the r-f magnetic field. In turn this controlled r-f magnetic field induces the azimuthal electric field (E_(θ)). The resultant crossed electric and magnetic fields (E₀×B_(z)) place particles of a selected mass/charge ratio, M₁, on unconfined orbits inside the chamber. At the same time, the crossed electric and magnetic fields (E_(θ)×B_(z)) allow particles of other mass/charge ratios (e.g. M₂) to go on confined orbits inside the chamber. The result is that the particles M₂ pass through the chamber on their confined orbits. Thus, they are separated from the particles M₁ that are on unconfined orbits and that, therefore, collide with the chamber wall for collection inside the chamber.

[0010] In accordance with the present invention, the determination as to whether a particular particle is to be confined or unconfined in the plasma filter chamber is determined by operational parameters selected for the particle according to an α-β plot (α is abscissa and β is ordinate). Specifically, for this plot: ${\alpha = \frac{\Omega_{0}^{2} + {\Omega_{1}^{2}/2}}{4\omega^{2}}},{{{and}\quad \beta} = \frac{\Omega_{0}\Omega_{1}}{8\omega^{2}}}$

[0011] where Ω₀ is the cyclotron frequency for particles with mass/charge ratio M, and wherein Ω₀=B₀/M and Ω₁=B₁/M. Preferably, in each case, the predetermined frequency, ω, of the selected r-f magnetic field is less than the cyclotron frequency, Ω, of the selected particles M_((2 . . . n)).

[0012] In the contemplation of the present invention, the multi-species plasma that is to be processed by the band gap mass filter may include a plurality of particles of mass/charge ratios M_((2 . . . n).) In this case it may happen that more than one of these particles need to be placed on unconfined orbits for collection inside the chamber. If so, a predetermined frequency (ω) is selected for each respective particle of mass/charge ratio M_((2 . . . n)) that is to be collected inside the chamber. Accordingly, the r-f antenna will generate a plurality of r-f magnetic fields in said chamber, with each r-f magnetic field having its own predetermined frequency (ω) for a dedicated particle of mass/charge ratio.

BRIEF DESCRIPTION OF THE DRAWINGS

[0013] The novel features of this invention, as well as the invention itself, both as to its structure and its operation, will be best understood from the accompanying drawings, taken in conjunction with the accompanying description, in which similar reference characters refer to similar parts, and in which:

[0014]FIG. 1 is a perspective view of a band gap filter in accordance with the present invention; and

[0015]FIG. 2 is a chart showing relationships between variables α and β with regimes (regions) wherein the r-f component of a magnetic field will induce an electric field, and wherein the resulting crossed electric and magnetic fields place selected charged particles on either confined or unconfined orbits while they are in the chamber of the band gap filter.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0016] Referring initially to FIG. 1, a band gap plasma filter in accordance with the present invention is shown and is generally designated 10. As shown, the filter 10 includes a chamber (separation section) 12 that is surrounded by a substantially cylindrical shaped wall 14. Magnetic coils 16 a-d are shown mounted on the wall 14, as is a radio frequency (r-f) antenna 18. More specifically, both the magnetic coils 16 a-d and the r-f antenna 18 are positioned on the filter 10 to generate respective constant and sinusoidal magnetic fields that are generally aligned along a longitudinal axis 20 that is defined by the cylindrical shaped wall 14.

[0017] Still referring to FIG. 1, it will be seen that the filter 10 includes an injector 22 that is used for introducing a multi-species plasma into the chamber 12. For the purposes of the present invention, the injector 22 can be of any type well known in the pertinent art that is capable of creating a multi-species plasma. Further, the filter 10 is shown to include a conductor 24 a that is positioned at one end of the chamber 12 and a conductor 24 b that is positioned at the opposite end of the chamber 12. FIG. 1 also shows that the filter 10 includes a control unit 26 that is electronically connected to the r-f antenna 18 via a line 28.

[0018] In the operation of the filter 10, the magnetic coils 16 a-d are activated to establish a generally constant uniform magnetic field (B₀) that is oriented in the chamber 12 substantially parallel to the axis 20. Along with this constant uniform magnetic field (B₀), the control unit 26 activates the antenna 18 to generate an r-f (sinusoidal) magnetic field (B₁ sin ωt) that is also oriented in the chamber 12 substantially parallel to the axis 20. Together, the constant magnetic field and the r-f magnetic field combine to define the magnetic field: B_(z)=B₀+B₁ sin ωt. Further, it is to be appreciated that the control unit 26 will manipulate the r-f sinusoidal magnetic field component by establishing the magnitude (B₁) of this component, as well as the sinusoidal frequency (ω) of the component.

[0019] When a multi-species plasma is introduced into the chamber 12, the determination as to whether a particular charged particle of mass/charge ratio, M_((1 . . . n)) will be collected inside the chamber 12, or will pass through the chamber 12 for collection outside the chamber 12, depends on the establishment of certain operational parameters. Specifically, as contemplated for the present invention, these operational parameters can be determined from an α-β plot such as the one shown in FIG. 2 and generally designated 30. The α-β plot 30 (α is abscissa and β is ordinate) is mathematically determined and is based on values for ${\alpha = \frac{\Omega_{0}^{2} + {\Omega_{1}^{2}/2}}{4\omega^{2}}},{{{and}\quad \beta} = {\frac{\Omega_{0}\Omega_{1}}{8\omega^{2}}.}}$

[0020] In these expressions, Ω₀ is the cyclotron frequency for particles with mass/charge ratio M, and Ω₀=B₀/M and Ω₁=B₁/M. As shown in FIG. 2, the α-β plot 30 for a particular particle will identify regions 32 a-c corresponding to confined orbits for particles, and regions 34 a-c corresponding to unconfined orbits for particles. In particular, values for α-β can be determined from a region 32 a-c that will result in the particle following a confined orbit through the chamber 12. On the other hand, values for α-β determined from a region 34 a-c will result in the particle following an unconfined orbit inside the chamber 12.

[0021] By way of example, consider a multi-species plasma containing both a particle 36 of mass/charge ratio M₁, and a particle 38 of different mass/charge ratio M₂. When referring to an α-β plot 30 for the particle 38, values for α-β can be selected from one of the regions 34 a-c that will correspond to specific operational parameters that will place the particle 38 (M₂) on an unconfined orbit 40 inside the chamber 12. In particular, these operational parameters will include values for α and β, pertinent to the particle 38, from which the required frequency, ω, for the r-f sinusoidal component of the magnetic field (B_(z)) can be determined. This frequency, ω, as well as the magnitude B₁ of the r-f sinusoidal component can then be controlled by the control unit 26 to ensure that the particle 38 (M₂) will remain on an unconfined orbit 40. The particle 38 can then be subsequently collected from the wall 14 of the filter 10.

[0022] Rather than being unconfined orbits 40 and collected inside the chamber 12, the present invention contemplates placing selected particles on confined orbits 42 inside the chamber 12. Such confined orbits 42 will take the particles out of the chamber 12 for subsequent collection. Alternatively, particles on confined orbits 42 can be collected at the end of chamber 12 where the conductor 24 b is located. With this in mind, consider the particle 36 (M₁). In this case, values for α-β can be selected from regions 32 a-c for confined orbits 42. Preferably, unless specifically selected otherwise, it is envisioned by the present invention that values for α-β will be chosen to establish operational parameters which will place particles on confined orbits 42 for transit through the chamber 12.

[0023] While the particular Band Gap Mass Filter with Induced Azimuthal Electric Field as herein shown and disclosed in detail is fully capable of obtaining the objects and providing the advantages herein before stated, it is to be understood that it is merely illustrative of the presently preferred embodiments of the invention and that no limitations are intended to the details of construction or design herein shown other than as described in the appended claims. 

What is claimed is:
 1. A band gap mass filter using an azimuthal electric field (E_(θ)) to separate particles of mass/charge ratio (M₁) from particles of mass/charge ratio (M₂) in a multi-species plasma which comprises: a plasma chamber defining an axis; a means for generating an r-f magnetic field in said chamber (B₁ sin ωt), wherein the r-f magnetic field is oriented substantially parallel to the axis to induce the azimuthal electric field (E_(θ)) in said chamber; and a means for controlling the magnitude (B₁) and the frequency (ω) of the r-f magnetic field to place particles M₁ on confined orbits inside said chamber and to place particles M₂ on unconfined orbits inside said chamber to pass the particles M₁ through said chamber for separation of the particles M₁ from the particles M₂.
 2. A filter as recited in claim 1 further comprising at least one direct current (d.c.) coil for generating a substantially constant uniform magnetic field (B₀) in said chamber to maintain the multi-species plasma in the chamber.
 3. A filter as recited in claim 1 wherein said generating means is an r-f antenna.
 4. A filter as recited in claim 3 wherein said r-f antenna generates a plurality of r-f magnetic field components in said chamber, with each r-f magnetic field component having a predetermined frequency (ω).
 5. A filter as recited in claim 4 wherein said multi-species plasma includes a plurality of particles of mass/charge ratio M_((2 . . . n)) to be placed on confined orbits inside said chamber and each predetermined frequency (ω) is selected for a respective particle of mass/charge ratio M_((2 . . . n)).
 6. A filter as recited in claim 5 wherein the unconfined orbits for respective particles of mass/charge ratio M_((2 . . . n)) are selectively determined according to an α-β plot (α is abscissa and β is ordinate) wherein: ${\alpha = \frac{\Omega_{0}^{2} + {\Omega_{1}^{2}/2}}{4\omega^{2}}},{{{{and}\quad \beta} = \frac{\Omega_{0}\Omega_{1}}{8\omega^{2}}};}$

and wherein Ω₀ is the cyclotron frequency for particles with mass/charge ratio M, and wherein Ω₀=B₀/M and Ω₁=B₁/M.
 7. A filter as recited in claim 6 wherein the predetermined frequency, ω, is less than the cyclotron frequency, Ω, of the selected particles of mass/charge ratio M_((2 . . . n)).
 8. A filter as recited in claim 1 wherein said plasma chamber has a first end and a second end and said filter further comprises: a first end conductor at said first end; and a second end conductor at said second end, wherein said first and second end conductors are positioned to absorb axial currents in said chamber due to divergence of the radial ion current.
 9. A system for separating particles of mass/charge ratio (M₁) from particles of mass/charge ratio (M₂) in a multi-species plasma which comprises: a plasma chamber defining an axis; a means for generating a magnetic field in said chamber wherein the magnetic field is oriented substantially parallel to the axis; a means for inducing an electric field in said chamber wherein said electric field is substantially perpendicular to said magnetic field, and further wherein said electric field is confined inside said chamber, and wherein said electric field is crossed with said magnetic field to place particles M₁ on confined orbits inside said chamber and to place particles M₂ on unconfined orbits inside said chamber to pass the particles M₁ through said chamber for separation of the particles M₁ from the particles M₂; a source for introducing the multi-species plasma into said chamber wherein said source is isolated from said electric field; and a collector for collecting the particles M₁ wherein said collector is isolated from said electric field.
 10. A system as recited in claim 9 wherein the magnetic field is defined (B=B₀+B₁ sin ωt), with B₀ being a substantially constant uniform component of the magnetic field in said chamber to maintain the multi-species plasma in the chamber and B₁ sin ωt is a sinusoidal r-f magnetic field in said chamber, wherein the r-f magnetic field is oriented substantially parallel to said axis to induce an azimuthal electric field (E_(θ)) in said chamber
 11. A system as recited in claim 10 further comprising a means for controlling the magnitude (B₁) and the frequency (ω) of the r-f magnetic field to place particles M₁ on confined orbits inside said chamber and to place particles M₂ on unconfined orbits inside said chamber to pass the particles M₁ through said chamber for separation of the particles M₁ from the particles M₂.
 12. A system as recited in claim 11 wherein the r-f magnetic field is generated by an r-f antenna.
 13. A system as recited in claim 12 wherein said r-f antenna generates a plurality of r-f magnetic field components in said chamber, with each r-f magnetic field component having a predetermined frequency (ω).
 14. A system as recited in claim 13 wherein said multi-species plasma includes a plurality of particles of mass/charge ratio M_((2 . . . n)) to be placed on confined orbits inside said chamber and each predetermined frequency (ω) is selected for a respective particle M_((2 . . . n)).
 15. A system as recited in claim 14 wherein the unconfined orbits for respective particles M_((2 . . . n)) are selectively determined according to an α-β plot (α is abscissa and β is ordinate) wherein: ${\alpha = \frac{\Omega_{0}^{2} + {\Omega_{1}^{2}/2}}{4\omega^{2}}},{{{{and}\quad \beta} = \frac{\Omega_{0}\Omega_{1}}{8\omega^{2}}};}$

and wherein Ω₀ is the cyclotron frequency for particles with mass/charge ratio M, and wherein Ω₀=B₀/M and Ω₁=B₁/M.
 16. A method for separating particles of mass/charge ratio (M₁) from particles of mass/charge ratio (M₂) in a multi-species plasma which comprises the steps of: providing a plasma chamber defining an axis; generating a magnetic field in said chamber wherein the magnetic field is oriented substantially parallel to the axis; inducing an electric field in said chamber wherein said electric field is substantially perpendicular to said magnetic field, and further wherein said electric field is confined inside said chamber, and wherein said electric field is crossed with said magnetic field to place particles M₁ on confined orbits inside said chamber and to place particles M₂ on unconfined orbits inside said chamber to pass the particles M₁ through said chamber for separation of the particles M₁ from the particles M₂; introducing the multi-species plasma into said chamber wherein said source is isolated from said electric field; and collecting the particles M₁ wherein said collector is isolated from said electric field.
 17. A method as recited in claim 16 wherein the magnetic field is defined (B=B₀+B₁ sin ωt), with B₀ being a substantially constant uniform component of the magnetic field in said chamber to maintain the multi-species plasma in the chamber and B₁ sin ωt is a sinusoidal r-f magnetic field in said chamber, wherein the r-f magnetic field is oriented substantially parallel to said axis to induce an azimuthal electric field (E_(θ)) in said chamber.
 18. A method as recited in claim 17 further comprising the step of controlling the magnitude (B₁) and the frequency (ω) of the r-f magnetic field to place particles M₁ on confined orbits inside said chamber and to place particles M₂ on unconfined orbits inside said chamber to pass the particles M₁ through said chamber for separation of the particles M₁ from the particles M₂.
 19. A method as recited in claim 18 wherein said controlling step generates a plurality of r-f magnetic field components in said chamber, with each r-f magnetic field component having a predetermined frequency (ω), and wherein said multi-species plasma includes a plurality of particles M_((2 . . . n)) to be placed on confined orbits inside said chamber and each predetermined frequency (ω) is selected for a respective particle of mass/charge ratio M_((2 . . . n)).
 20. A method as recited in claim 19 wherein the unconfined orbits for respective particles M_((2 . . . n)) are selectively determined according to an α-β plot (α is abscissa and β is ordinate) wherein: ${\alpha = \frac{\Omega_{0}^{2} + {\Omega_{1}^{2}/2}}{4\omega^{2}}},{{{{and}\quad \beta} = \frac{\Omega_{0}\Omega_{1}}{8\omega^{2}}};}$

and wherein Ω₀ is the cyclotron frequency for particles with mass/charge ratio M, and wherein Ω₀=B₀/M and Ω₁=B₁/M. 